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Finding the Fourth Proportional to 78,376.40, 108,159.08 and 42,566.12

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Solution

The fourth proportional to 78,376.40, 108,159.08 and 42,566.12 is: 58,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.40 : 108,159.08 = 42,566.12 : x
  2. Step 2: Convert to fraction form
    78,376.40/108,159.08 = 42,566.12/x
  3. Step 3: Cross multiply
    78,376.40x = 108,159.08 × 42,566.12
  4. Step 4: Simplify right side
    78,376.40x = 4,603,912,378.37
  5. Step 5: Solve for x
    x = 4,603,912,378.37/78,376.40
  6. Step 6: Final answer
    x = 58,741.05

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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.