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Finding the Fourth Proportional to 157,790, 236,801.64 and 74,684

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Solution

The fourth proportional to 157,790, 236,801.64 and 74,684 is: 112,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,790 : 236,801.64 = 74,684 : x
  2. Step 2: Convert to fraction form
    157,790/236,801.64 = 74,684/x
  3. Step 3: Cross multiply
    157,790x = 236,801.64 × 74,684
  4. Step 4: Simplify right side
    157,790x = 17,685,293,681.76
  5. Step 5: Solve for x
    x = 17,685,293,681.76/157,790
  6. Step 6: Final answer
    x = 112,081.21

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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.