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Finding the Fourth Proportional to 153,548.68, 211,893.72 and 85,565.32

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Solution

The fourth proportional to 153,548.68, 211,893.72 and 85,565.32 is: 118,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,548.68 : 211,893.72 = 85,565.32 : x
  2. Step 2: Convert to fraction form
    153,548.68/211,893.72 = 85,565.32/x
  3. Step 3: Cross multiply
    153,548.68x = 211,893.72 × 85,565.32
  4. Step 4: Simplify right side
    153,548.68x = 18,130,753,957.79
  5. Step 5: Solve for x
    x = 18,130,753,957.79/153,548.68
  6. Step 6: Final answer
    x = 118,078.21

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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.