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Finding the Fourth Proportional to 42,710.78, 64,204.47 and 39,629.16

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Solution

The fourth proportional to 42,710.78, 64,204.47 and 39,629.16 is: 59,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.78 : 64,204.47 = 39,629.16 : x
  2. Step 2: Convert to fraction form
    42,710.78/64,204.47 = 39,629.16/x
  3. Step 3: Cross multiply
    42,710.78x = 64,204.47 × 39,629.16
  4. Step 4: Simplify right side
    42,710.78x = 2,544,369,214.35
  5. Step 5: Solve for x
    x = 2,544,369,214.35/42,710.78
  6. Step 6: Final answer
    x = 59,572.06

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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.