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Finding the Fourth Proportional to 238,237.65, 357,280.68 and 78,276.71

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Solution

The fourth proportional to 238,237.65, 357,280.68 and 78,276.71 is: 117,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,237.65 : 357,280.68 = 78,276.71 : x
  2. Step 2: Convert to fraction form
    238,237.65/357,280.68 = 78,276.71/x
  3. Step 3: Cross multiply
    238,237.65x = 357,280.68 × 78,276.71
  4. Step 4: Simplify right side
    238,237.65x = 27,966,756,176.96
  5. Step 5: Solve for x
    x = 27,966,756,176.96/238,237.65
  6. Step 6: Final answer
    x = 117,390.16

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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.