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Finding the Fourth Proportional to 144,475.76, 216,723.36 and 55,730

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Solution

The fourth proportional to 144,475.76, 216,723.36 and 55,730 is: 83,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,475.76 : 216,723.36 = 55,730 : x
  2. Step 2: Convert to fraction form
    144,475.76/216,723.36 = 55,730/x
  3. Step 3: Cross multiply
    144,475.76x = 216,723.36 × 55,730
  4. Step 4: Simplify right side
    144,475.76x = 12,077,992,852.80
  5. Step 5: Solve for x
    x = 12,077,992,852.80/144,475.76
  6. Step 6: Final answer
    x = 83,598.75

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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.