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Finding the Fourth Proportional to 86,883, 119,898.54 and 47,139

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Solution

The fourth proportional to 86,883, 119,898.54 and 47,139 is: 65,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,883 : 119,898.54 = 47,139 : x
  2. Step 2: Convert to fraction form
    86,883/119,898.54 = 47,139/x
  3. Step 3: Cross multiply
    86,883x = 119,898.54 × 47,139
  4. Step 4: Simplify right side
    86,883x = 5,651,897,277.06
  5. Step 5: Solve for x
    x = 5,651,897,277.06/86,883
  6. Step 6: Final answer
    x = 65,051.82

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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.