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Finding the Fourth Proportional to 157,212.96, 216,929.52 and 90,132

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Solution

The fourth proportional to 157,212.96, 216,929.52 and 90,132 is: 124,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212.96 : 216,929.52 = 90,132 : x
  2. Step 2: Convert to fraction form
    157,212.96/216,929.52 = 90,132/x
  3. Step 3: Cross multiply
    157,212.96x = 216,929.52 × 90,132
  4. Step 4: Simplify right side
    157,212.96x = 19,552,291,496.64
  5. Step 5: Solve for x
    x = 19,552,291,496.64/157,212.96
  6. Step 6: Final answer
    x = 124,368.19

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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.