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Finding the Fourth Proportional to 208,337.61, 312,441.99 and 75,200.94

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Solution

The fourth proportional to 208,337.61, 312,441.99 and 75,200.94 is: 112,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,337.61 : 312,441.99 = 75,200.94 : x
  2. Step 2: Convert to fraction form
    208,337.61/312,441.99 = 75,200.94/x
  3. Step 3: Cross multiply
    208,337.61x = 312,441.99 × 75,200.94
  4. Step 4: Simplify right side
    208,337.61x = 23,495,931,343.47
  5. Step 5: Solve for x
    x = 23,495,931,343.47/208,337.61
  6. Step 6: Final answer
    x = 112,778.16

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1.5x scale

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.