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Finding the Fourth Proportional to 287,642.96, 431,526.71 and 110,149.98

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Solution

The fourth proportional to 287,642.96, 431,526.71 and 110,149.98 is: 165,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,642.96 : 431,526.71 = 110,149.98 : x
  2. Step 2: Convert to fraction form
    287,642.96/431,526.71 = 110,149.98/x
  3. Step 3: Cross multiply
    287,642.96x = 431,526.71 × 110,149.98
  4. Step 4: Simplify right side
    287,642.96x = 47,532,657,133.12
  5. Step 5: Solve for x
    x = 47,532,657,133.12/287,642.96
  6. Step 6: Final answer
    x = 165,248.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.