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Finding the Fourth Proportional to 51,495, 77,242.98 and 20,330.25

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Solution

The fourth proportional to 51,495, 77,242.98 and 20,330.25 is: 30,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495 : 77,242.98 = 20,330.25 : x
  2. Step 2: Convert to fraction form
    51,495/77,242.98 = 20,330.25/x
  3. Step 3: Cross multiply
    51,495x = 77,242.98 × 20,330.25
  4. Step 4: Simplify right side
    51,495x = 1,570,369,094.15
  5. Step 5: Solve for x
    x = 1,570,369,094.15/51,495
  6. Step 6: Final answer
    x = 30,495.56

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1.5x scale

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.