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Finding the Fourth Proportional to 78,058.64, 107,720.70 and 42,248.64

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Solution

The fourth proportional to 78,058.64, 107,720.70 and 42,248.64 is: 58,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.64 : 107,720.70 = 42,248.64 : x
  2. Step 2: Convert to fraction form
    78,058.64/107,720.70 = 42,248.64/x
  3. Step 3: Cross multiply
    78,058.64x = 107,720.70 × 42,248.64
  4. Step 4: Simplify right side
    78,058.64x = 4,551,053,074.85
  5. Step 5: Solve for x
    x = 4,551,053,074.85/78,058.64
  6. Step 6: Final answer
    x = 58,303.00

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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.