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Finding the Fourth Proportional to 161,776.80, 242,492.40 and 61,898.40

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Solution

The fourth proportional to 161,776.80, 242,492.40 and 61,898.40 is: 92,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,776.80 : 242,492.40 = 61,898.40 : x
  2. Step 2: Convert to fraction form
    161,776.80/242,492.40 = 61,898.40/x
  3. Step 3: Cross multiply
    161,776.80x = 242,492.40 × 61,898.40
  4. Step 4: Simplify right side
    161,776.80x = 15,009,891,572.16
  5. Step 5: Solve for x
    x = 15,009,891,572.16/161,776.80
  6. Step 6: Final answer
    x = 92,781.48

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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.