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Finding the Fourth Proportional to 103,569.40, 155,354.10 and 64,203.40

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Solution

The fourth proportional to 103,569.40, 155,354.10 and 64,203.40 is: 96,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,569.40 : 155,354.10 = 64,203.40 : x
  2. Step 2: Convert to fraction form
    103,569.40/155,354.10 = 64,203.40/x
  3. Step 3: Cross multiply
    103,569.40x = 155,354.10 × 64,203.40
  4. Step 4: Simplify right side
    103,569.40x = 9,974,261,423.94
  5. Step 5: Solve for x
    x = 9,974,261,423.94/103,569.40
  6. Step 6: Final answer
    x = 96,305.10

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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.