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Finding the Fourth Proportional to 78,045.45, 107,702.99 and 42,235.46

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Solution

The fourth proportional to 78,045.45, 107,702.99 and 42,235.46 is: 58,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045.45 : 107,702.99 = 42,235.46 : x
  2. Step 2: Convert to fraction form
    78,045.45/107,702.99 = 42,235.46/x
  3. Step 3: Cross multiply
    78,045.45x = 107,702.99 × 42,235.46
  4. Step 4: Simplify right side
    78,045.45x = 4,548,884,893.10
  5. Step 5: Solve for x
    x = 4,548,884,893.10/78,045.45
  6. Step 6: Final answer
    x = 58,285.07

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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.