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Finding the Fourth Proportional to 54,681, 75,459.80 and 29,530.50

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Solution

The fourth proportional to 54,681, 75,459.80 and 29,530.50 is: 40,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681 : 75,459.80 = 29,530.50 : x
  2. Step 2: Convert to fraction form
    54,681/75,459.80 = 29,530.50/x
  3. Step 3: Cross multiply
    54,681x = 75,459.80 × 29,530.50
  4. Step 4: Simplify right side
    54,681x = 2,228,365,476.25
  5. Step 5: Solve for x
    x = 2,228,365,476.25/54,681
  6. Step 6: Final answer
    x = 40,752.10

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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.