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Finding the Fourth Proportional to 65,881.47, 90,916.41 and 35,666.78

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Solution

The fourth proportional to 65,881.47, 90,916.41 and 35,666.78 is: 49,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,881.47 : 90,916.41 = 35,666.78 : x
  2. Step 2: Convert to fraction form
    65,881.47/90,916.41 = 35,666.78/x
  3. Step 3: Cross multiply
    65,881.47x = 90,916.41 × 35,666.78
  4. Step 4: Simplify right side
    65,881.47x = 3,242,695,273.03
  5. Step 5: Solve for x
    x = 3,242,695,273.03/65,881.47
  6. Step 6: Final answer
    x = 49,220.14

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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.