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Finding the Fourth Proportional to 282,138.65, 423,206.55 and 99,904.65

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Solution

The fourth proportional to 282,138.65, 423,206.55 and 99,904.65 is: 149,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,138.65 : 423,206.55 = 99,904.65 : x
  2. Step 2: Convert to fraction form
    282,138.65/423,206.55 = 99,904.65/x
  3. Step 3: Cross multiply
    282,138.65x = 423,206.55 × 99,904.65
  4. Step 4: Simplify right side
    282,138.65x = 42,280,302,255.46
  5. Step 5: Solve for x
    x = 42,280,302,255.46/282,138.65
  6. Step 6: Final answer
    x = 149,856.47

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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.