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Finding the Fourth Proportional to 130,031, 179,442.78 and 70,415

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Solution

The fourth proportional to 130,031, 179,442.78 and 70,415 is: 97,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,031 : 179,442.78 = 70,415 : x
  2. Step 2: Convert to fraction form
    130,031/179,442.78 = 70,415/x
  3. Step 3: Cross multiply
    130,031x = 179,442.78 × 70,415
  4. Step 4: Simplify right side
    130,031x = 12,635,463,353.70
  5. Step 5: Solve for x
    x = 12,635,463,353.70/130,031
  6. Step 6: Final answer
    x = 97,172.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.