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Finding the Fourth Proportional to 108,783.70, 163,612.95 and 97,411.30

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Solution

The fourth proportional to 108,783.70, 163,612.95 and 97,411.30 is: 146,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,783.70 : 163,612.95 = 97,411.30 : x
  2. Step 2: Convert to fraction form
    108,783.70/163,612.95 = 97,411.30/x
  3. Step 3: Cross multiply
    108,783.70x = 163,612.95 × 97,411.30
  4. Step 4: Simplify right side
    108,783.70x = 15,937,750,156.34
  5. Step 5: Solve for x
    x = 15,937,750,156.34/108,783.70
  6. Step 6: Final answer
    x = 146,508.62

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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.