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Finding the Fourth Proportional to 97,830.92, 147,412.74 and 80,450.87

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Solution

The fourth proportional to 97,830.92, 147,412.74 and 80,450.87 is: 121,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830.92 : 147,412.74 = 80,450.87 : x
  2. Step 2: Convert to fraction form
    97,830.92/147,412.74 = 80,450.87/x
  3. Step 3: Cross multiply
    97,830.92x = 147,412.74 × 80,450.87
  4. Step 4: Simplify right side
    97,830.92x = 11,859,482,445.02
  5. Step 5: Solve for x
    x = 11,859,482,445.02/97,830.92
  6. Step 6: Final answer
    x = 121,224.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.