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Finding the Fourth Proportional to 161,648.80, 242,415.60 and 56,471.20

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Solution

The fourth proportional to 161,648.80, 242,415.60 and 56,471.20 is: 84,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,648.80 : 242,415.60 = 56,471.20 : x
  2. Step 2: Convert to fraction form
    161,648.80/242,415.60 = 56,471.20/x
  3. Step 3: Cross multiply
    161,648.80x = 242,415.60 × 56,471.20
  4. Step 4: Simplify right side
    161,648.80x = 13,689,499,830.72
  5. Step 5: Solve for x
    x = 13,689,499,830.72/161,648.80
  6. Step 6: Final answer
    x = 84,686.68

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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.