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Finding the Fourth Proportional to 161,876.94, 242,607.60 and 77,510.69

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Solution

The fourth proportional to 161,876.94, 242,607.60 and 77,510.69 is: 116,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,876.94 : 242,607.60 = 77,510.69 : x
  2. Step 2: Convert to fraction form
    161,876.94/242,607.60 = 77,510.69/x
  3. Step 3: Cross multiply
    161,876.94x = 242,607.60 × 77,510.69
  4. Step 4: Simplify right side
    161,876.94x = 18,804,681,262.21
  5. Step 5: Solve for x
    x = 18,804,681,262.21/161,876.94
  6. Step 6: Final answer
    x = 116,166.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.