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Finding the Fourth Proportional to 181,661.40, 272,492.10 and 97,680.60

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Solution

The fourth proportional to 181,661.40, 272,492.10 and 97,680.60 is: 146,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,661.40 : 272,492.10 = 97,680.60 : x
  2. Step 2: Convert to fraction form
    181,661.40/272,492.10 = 97,680.60/x
  3. Step 3: Cross multiply
    181,661.40x = 272,492.10 × 97,680.60
  4. Step 4: Simplify right side
    181,661.40x = 26,617,191,823.26
  5. Step 5: Solve for x
    x = 26,617,191,823.26/181,661.40
  6. Step 6: Final answer
    x = 146,520.90

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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.