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Finding the Fourth Proportional to 157,152, 216,869.76 and 86,496

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Solution

The fourth proportional to 157,152, 216,869.76 and 86,496 is: 119,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,152 : 216,869.76 = 86,496 : x
  2. Step 2: Convert to fraction form
    157,152/216,869.76 = 86,496/x
  3. Step 3: Cross multiply
    157,152x = 216,869.76 × 86,496
  4. Step 4: Simplify right side
    157,152x = 18,758,366,760.96
  5. Step 5: Solve for x
    x = 18,758,366,760.96/157,152
  6. Step 6: Final answer
    x = 119,364.48

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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.