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Finding the Fourth Proportional to 131,802.86, 181,888.12 and 71,373.60

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Solution

The fourth proportional to 131,802.86, 181,888.12 and 71,373.60 is: 98,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,802.86 : 181,888.12 = 71,373.60 : x
  2. Step 2: Convert to fraction form
    131,802.86/181,888.12 = 71,373.60/x
  3. Step 3: Cross multiply
    131,802.86x = 181,888.12 × 71,373.60
  4. Step 4: Simplify right side
    131,802.86x = 12,982,009,782.59
  5. Step 5: Solve for x
    x = 12,982,009,782.59/131,802.86
  6. Step 6: Final answer
    x = 98,495.66

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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.