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Finding the Fourth Proportional to 76,702.80, 105,854.76 and 46,490.88

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Solution

The fourth proportional to 76,702.80, 105,854.76 and 46,490.88 is: 64,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.80 : 105,854.76 = 46,490.88 : x
  2. Step 2: Convert to fraction form
    76,702.80/105,854.76 = 46,490.88/x
  3. Step 3: Cross multiply
    76,702.80x = 105,854.76 × 46,490.88
  4. Step 4: Simplify right side
    76,702.80x = 4,921,280,944.59
  5. Step 5: Solve for x
    x = 4,921,280,944.59/76,702.80
  6. Step 6: Final answer
    x = 64,160.38

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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.