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Finding the Fourth Proportional to 157,021.14, 216,684.54 and 89,044.32

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Solution

The fourth proportional to 157,021.14, 216,684.54 and 89,044.32 is: 122,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,021.14 : 216,684.54 = 89,044.32 : x
  2. Step 2: Convert to fraction form
    157,021.14/216,684.54 = 89,044.32/x
  3. Step 3: Cross multiply
    157,021.14x = 216,684.54 × 89,044.32
  4. Step 4: Simplify right side
    157,021.14x = 19,294,527,518.81
  5. Step 5: Solve for x
    x = 19,294,527,518.81/157,021.14
  6. Step 6: Final answer
    x = 122,878.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.