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Finding the Fourth Proportional to 86,776, 119,750.96 and 47,032

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Solution

The fourth proportional to 86,776, 119,750.96 and 47,032 is: 64,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776 : 119,750.96 = 47,032 : x
  2. Step 2: Convert to fraction form
    86,776/119,750.96 = 47,032/x
  3. Step 3: Cross multiply
    86,776x = 119,750.96 × 47,032
  4. Step 4: Simplify right side
    86,776x = 5,632,127,150.72
  5. Step 5: Solve for x
    x = 5,632,127,150.72/86,776
  6. Step 6: Final answer
    x = 64,904.20

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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.