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Finding the Fourth Proportional to 156,877.44, 216,509.76 and 89,808

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Solution

The fourth proportional to 156,877.44, 216,509.76 and 89,808 is: 123,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,877.44 : 216,509.76 = 89,808 : x
  2. Step 2: Convert to fraction form
    156,877.44/216,509.76 = 89,808/x
  3. Step 3: Cross multiply
    156,877.44x = 216,509.76 × 89,808
  4. Step 4: Simplify right side
    156,877.44x = 19,444,308,526.08
  5. Step 5: Solve for x
    x = 19,444,308,526.08/156,877.44
  6. Step 6: Final answer
    x = 123,945.86

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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.