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Finding the Fourth Proportional to 103,678.90, 155,403.15 and 56,965.30

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Solution

The fourth proportional to 103,678.90, 155,403.15 and 56,965.30 is: 85,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.90 : 155,403.15 = 56,965.30 : x
  2. Step 2: Convert to fraction form
    103,678.90/155,403.15 = 56,965.30/x
  3. Step 3: Cross multiply
    103,678.90x = 155,403.15 × 56,965.30
  4. Step 4: Simplify right side
    103,678.90x = 8,852,587,060.70
  5. Step 5: Solve for x
    x = 8,852,587,060.70/103,678.90
  6. Step 6: Final answer
    x = 85,384.65

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1.5x scale

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.