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Finding the Fourth Proportional to 127,989.50, 176,543.26 and 77,688.50

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Solution

The fourth proportional to 127,989.50, 176,543.26 and 77,688.50 is: 107,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,989.50 : 176,543.26 = 77,688.50 : x
  2. Step 2: Convert to fraction form
    127,989.50/176,543.26 = 77,688.50/x
  3. Step 3: Cross multiply
    127,989.50x = 176,543.26 × 77,688.50
  4. Step 4: Simplify right side
    127,989.50x = 13,715,381,054.51
  5. Step 5: Solve for x
    x = 13,715,381,054.51/127,989.50
  6. Step 6: Final answer
    x = 107,160.20

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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.