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Finding the Fourth Proportional to 208,152.40, 287,248.80 and 112,656.88

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Solution

The fourth proportional to 208,152.40, 287,248.80 and 112,656.88 is: 155,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152.40 : 287,248.80 = 112,656.88 : x
  2. Step 2: Convert to fraction form
    208,152.40/287,248.80 = 112,656.88/x
  3. Step 3: Cross multiply
    208,152.40x = 287,248.80 × 112,656.88
  4. Step 4: Simplify right side
    208,152.40x = 32,360,553,591.74
  5. Step 5: Solve for x
    x = 32,360,553,591.74/208,152.40
  6. Step 6: Final answer
    x = 155,465.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.