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Finding the Fourth Proportional to 156,528, 216,008.64 and 89,461.44

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Solution

The fourth proportional to 156,528, 216,008.64 and 89,461.44 is: 123,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,528 : 216,008.64 = 89,461.44 : x
  2. Step 2: Convert to fraction form
    156,528/216,008.64 = 89,461.44/x
  3. Step 3: Cross multiply
    156,528x = 216,008.64 × 89,461.44
  4. Step 4: Simplify right side
    156,528x = 19,324,443,986.84
  5. Step 5: Solve for x
    x = 19,324,443,986.84/156,528
  6. Step 6: Final answer
    x = 123,456.79

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1.5x scale

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.