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Finding the Fourth Proportional to 156,140, 234,216.48 and 45,332

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Solution

The fourth proportional to 156,140, 234,216.48 and 45,332 is: 67,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,140 : 234,216.48 = 45,332 : x
  2. Step 2: Convert to fraction form
    156,140/234,216.48 = 45,332/x
  3. Step 3: Cross multiply
    156,140x = 234,216.48 × 45,332
  4. Step 4: Simplify right side
    156,140x = 10,617,501,471.36
  5. Step 5: Solve for x
    x = 10,617,501,471.36/156,140
  6. Step 6: Final answer
    x = 67,999.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.