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Finding the Fourth Proportional to 161,477.47, 242,216.34 and 77,217.76

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Solution

The fourth proportional to 161,477.47, 242,216.34 and 77,217.76 is: 115,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,477.47 : 242,216.34 = 77,217.76 : x
  2. Step 2: Convert to fraction form
    161,477.47/242,216.34 = 77,217.76/x
  3. Step 3: Cross multiply
    161,477.47x = 242,216.34 × 77,217.76
  4. Step 4: Simplify right side
    161,477.47x = 18,703,403,210.20
  5. Step 5: Solve for x
    x = 18,703,403,210.20/161,477.47
  6. Step 6: Final answer
    x = 115,826.70

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1.5x scale

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.