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Finding the Fourth Proportional to 151,428.34, 208,972.51 and 83,447.74

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Solution

The fourth proportional to 151,428.34, 208,972.51 and 83,447.74 is: 115,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428.34 : 208,972.51 = 83,447.74 : x
  2. Step 2: Convert to fraction form
    151,428.34/208,972.51 = 83,447.74/x
  3. Step 3: Cross multiply
    151,428.34x = 208,972.51 × 83,447.74
  4. Step 4: Simplify right side
    151,428.34x = 17,438,283,681.63
  5. Step 5: Solve for x
    x = 17,438,283,681.63/151,428.34
  6. Step 6: Final answer
    x = 115,158.65

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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.