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Finding the Fourth Proportional to 75,240.96, 103,835.88 and 42,978.40

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Solution

The fourth proportional to 75,240.96, 103,835.88 and 42,978.40 is: 59,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240.96 : 103,835.88 = 42,978.40 : x
  2. Step 2: Convert to fraction form
    75,240.96/103,835.88 = 42,978.40/x
  3. Step 3: Cross multiply
    75,240.96x = 103,835.88 × 42,978.40
  4. Step 4: Simplify right side
    75,240.96x = 4,462,699,984.99
  5. Step 5: Solve for x
    x = 4,462,699,984.99/75,240.96
  6. Step 6: Final answer
    x = 59,312.11

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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.