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Finding the Fourth Proportional to 76,597.40, 105,702.88 and 42,605.16

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Solution

The fourth proportional to 76,597.40, 105,702.88 and 42,605.16 is: 58,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,597.40 : 105,702.88 = 42,605.16 : x
  2. Step 2: Convert to fraction form
    76,597.40/105,702.88 = 42,605.16/x
  3. Step 3: Cross multiply
    76,597.40x = 105,702.88 × 42,605.16
  4. Step 4: Simplify right side
    76,597.40x = 4,503,487,901.84
  5. Step 5: Solve for x
    x = 4,503,487,901.84/76,597.40
  6. Step 6: Final answer
    x = 58,794.27

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1.5x scale

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.