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Finding the Fourth Proportional to 282,457.85, 423,701.35 and 72,097.61

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Solution

The fourth proportional to 282,457.85, 423,701.35 and 72,097.61 is: 108,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,457.85 : 423,701.35 = 72,097.61 : x
  2. Step 2: Convert to fraction form
    282,457.85/423,701.35 = 72,097.61/x
  3. Step 3: Cross multiply
    282,457.85x = 423,701.35 × 72,097.61
  4. Step 4: Simplify right side
    282,457.85x = 30,547,852,390.02
  5. Step 5: Solve for x
    x = 30,547,852,390.02/282,457.85
  6. Step 6: Final answer
    x = 108,150.13

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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.