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Finding the Fourth Proportional to 76,963.57, 106,211.96 and 42,971.51

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Solution

The fourth proportional to 76,963.57, 106,211.96 and 42,971.51 is: 59,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.57 : 106,211.96 = 42,971.51 : x
  2. Step 2: Convert to fraction form
    76,963.57/106,211.96 = 42,971.51/x
  3. Step 3: Cross multiply
    76,963.57x = 106,211.96 × 42,971.51
  4. Step 4: Simplify right side
    76,963.57x = 4,564,088,513.08
  5. Step 5: Solve for x
    x = 4,564,088,513.08/76,963.57
  6. Step 6: Final answer
    x = 59,301.94

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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.