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Finding the Fourth Proportional to 208,357.60, 287,462.16 and 135,726.88

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Solution

The fourth proportional to 208,357.60, 287,462.16 and 135,726.88 is: 187,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,357.60 : 287,462.16 = 135,726.88 : x
  2. Step 2: Convert to fraction form
    208,357.60/287,462.16 = 135,726.88/x
  3. Step 3: Cross multiply
    208,357.60x = 287,462.16 × 135,726.88
  4. Step 4: Simplify right side
    208,357.60x = 39,016,342,094.86
  5. Step 5: Solve for x
    x = 39,016,342,094.86/208,357.60
  6. Step 6: Final answer
    x = 187,256.63

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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.