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Finding the Fourth Proportional to 208,148.40, 287,243.28 and 112,652.88

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Solution

The fourth proportional to 208,148.40, 287,243.28 and 112,652.88 is: 155,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,148.40 : 287,243.28 = 112,652.88 : x
  2. Step 2: Convert to fraction form
    208,148.40/287,243.28 = 112,652.88/x
  3. Step 3: Cross multiply
    208,148.40x = 287,243.28 × 112,652.88
  4. Step 4: Simplify right side
    208,148.40x = 32,358,782,752.65
  5. Step 5: Solve for x
    x = 32,358,782,752.65/208,148.40
  6. Step 6: Final answer
    x = 155,460.16

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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.