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Finding the Fourth Proportional to 100,856.30, 151,284.45 and 48,368.30

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Solution

The fourth proportional to 100,856.30, 151,284.45 and 48,368.30 is: 72,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856.30 : 151,284.45 = 48,368.30 : x
  2. Step 2: Convert to fraction form
    100,856.30/151,284.45 = 48,368.30/x
  3. Step 3: Cross multiply
    100,856.30x = 151,284.45 × 48,368.30
  4. Step 4: Simplify right side
    100,856.30x = 7,317,371,662.94
  5. Step 5: Solve for x
    x = 7,317,371,662.94/100,856.30
  6. Step 6: Final answer
    x = 72,552.45

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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.