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Finding the Fourth Proportional to 109,641.20, 164,461.80 and 97,977.20

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Solution

The fourth proportional to 109,641.20, 164,461.80 and 97,977.20 is: 146,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,641.20 : 164,461.80 = 97,977.20 : x
  2. Step 2: Convert to fraction form
    109,641.20/164,461.80 = 97,977.20/x
  3. Step 3: Cross multiply
    109,641.20x = 164,461.80 × 97,977.20
  4. Step 4: Simplify right side
    109,641.20x = 16,113,506,670.96
  5. Step 5: Solve for x
    x = 16,113,506,670.96/109,641.20
  6. Step 6: Final answer
    x = 146,965.80

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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.