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Finding the Fourth Proportional to 157,204.96, 216,918.40 and 90,124

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Solution

The fourth proportional to 157,204.96, 216,918.40 and 90,124 is: 124,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,204.96 : 216,918.40 = 90,124 : x
  2. Step 2: Convert to fraction form
    157,204.96/216,918.40 = 90,124/x
  3. Step 3: Cross multiply
    157,204.96x = 216,918.40 × 90,124
  4. Step 4: Simplify right side
    157,204.96x = 19,549,553,881.60
  5. Step 5: Solve for x
    x = 19,549,553,881.60/157,204.96
  6. Step 6: Final answer
    x = 124,357.11

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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.