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Finding the Fourth Proportional to 51,600,978.47, 77,401,626.80 and 12,739,434.93

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Solution

The fourth proportional to 51,600,978.47, 77,401,626.80 and 12,739,434.93 is: 19,109,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600,978.47 : 77,401,626.80 = 12,739,434.93 : x
  2. Step 2: Convert to fraction form
    51,600,978.47/77,401,626.80 = 12,739,434.93/x
  3. Step 3: Cross multiply
    51,600,978.47x = 77,401,626.80 × 12,739,434.93
  4. Step 4: Simplify right side
    51,600,978.47x = 986,052,988,031,047
  5. Step 5: Solve for x
    x = 986,052,988,031,047/51,600,978.47
  6. Step 6: Final answer
    x = 19,109,191.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.