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Finding the Fourth Proportional to 156,907.60, 216,535 and 85,287.76

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Solution

The fourth proportional to 156,907.60, 216,535 and 85,287.76 is: 117,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,907.60 : 216,535 = 85,287.76 : x
  2. Step 2: Convert to fraction form
    156,907.60/216,535 = 85,287.76/x
  3. Step 3: Cross multiply
    156,907.60x = 216,535 × 85,287.76
  4. Step 4: Simplify right side
    156,907.60x = 18,467,785,111.60
  5. Step 5: Solve for x
    x = 18,467,785,111.60/156,907.60
  6. Step 6: Final answer
    x = 117,698.47

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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.