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Finding the Fourth Proportional to 208,151.04, 287,248.43 and 112,657.74

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Solution

The fourth proportional to 208,151.04, 287,248.43 and 112,657.74 is: 155,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.04 : 287,248.43 = 112,657.74 : x
  2. Step 2: Convert to fraction form
    208,151.04/287,248.43 = 112,657.74/x
  3. Step 3: Cross multiply
    208,151.04x = 287,248.43 × 112,657.74
  4. Step 4: Simplify right side
    208,151.04x = 32,360,758,379.06
  5. Step 5: Solve for x
    x = 32,360,758,379.06/208,151.04
  6. Step 6: Final answer
    x = 155,467.68

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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.