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Finding the Fourth Proportional to 156,664, 216,117.70 and 105,612.13

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Solution

The fourth proportional to 156,664, 216,117.70 and 105,612.13 is: 145,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,664 : 216,117.70 = 105,612.13 : x
  2. Step 2: Convert to fraction form
    156,664/216,117.70 = 105,612.13/x
  3. Step 3: Cross multiply
    156,664x = 216,117.70 × 105,612.13
  4. Step 4: Simplify right side
    156,664x = 22,824,650,627.70
  5. Step 5: Solve for x
    x = 22,824,650,627.70/156,664
  6. Step 6: Final answer
    x = 145,691.74

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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.