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Finding the Fourth Proportional to 208,579.32, 287,818.16 and 128,010.24

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Solution

The fourth proportional to 208,579.32, 287,818.16 and 128,010.24 is: 176,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,579.32 : 287,818.16 = 128,010.24 : x
  2. Step 2: Convert to fraction form
    208,579.32/287,818.16 = 128,010.24/x
  3. Step 3: Cross multiply
    208,579.32x = 287,818.16 × 128,010.24
  4. Step 4: Simplify right side
    208,579.32x = 36,843,671,097.91
  5. Step 5: Solve for x
    x = 36,843,671,097.91/208,579.32
  6. Step 6: Final answer
    x = 176,641.05

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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.