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Finding the Fourth Proportional to 75,158.98, 103,693.64 and 42,870.40

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Solution

The fourth proportional to 75,158.98, 103,693.64 and 42,870.40 is: 59,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,158.98 : 103,693.64 = 42,870.40 : x
  2. Step 2: Convert to fraction form
    75,158.98/103,693.64 = 42,870.40/x
  3. Step 3: Cross multiply
    75,158.98x = 103,693.64 × 42,870.40
  4. Step 4: Simplify right side
    75,158.98x = 4,445,387,591.82
  5. Step 5: Solve for x
    x = 4,445,387,591.82/75,158.98
  6. Step 6: Final answer
    x = 59,146.46

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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.