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Finding the Fourth Proportional to 86,402.86, 119,258.49 and 56,270.86

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Solution

The fourth proportional to 86,402.86, 119,258.49 and 56,270.86 is: 77,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402.86 : 119,258.49 = 56,270.86 : x
  2. Step 2: Convert to fraction form
    86,402.86/119,258.49 = 56,270.86/x
  3. Step 3: Cross multiply
    86,402.86x = 119,258.49 × 56,270.86
  4. Step 4: Simplify right side
    86,402.86x = 6,710,777,707.47
  5. Step 5: Solve for x
    x = 6,710,777,707.47/86,402.86
  6. Step 6: Final answer
    x = 77,668.47

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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.