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Finding the Fourth Proportional to 76,656.94, 105,785.52 and 42,665.44

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Solution

The fourth proportional to 76,656.94, 105,785.52 and 42,665.44 is: 58,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.94 : 105,785.52 = 42,665.44 : x
  2. Step 2: Convert to fraction form
    76,656.94/105,785.52 = 42,665.44/x
  3. Step 3: Cross multiply
    76,656.94x = 105,785.52 × 42,665.44
  4. Step 4: Simplify right side
    76,656.94x = 4,513,386,247.00
  5. Step 5: Solve for x
    x = 4,513,386,247.00/76,656.94
  6. Step 6: Final answer
    x = 58,877.72

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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.