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Finding the Fourth Proportional to 145,102.80, 217,690.96 and 70,258.80

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Solution

The fourth proportional to 145,102.80, 217,690.96 and 70,258.80 is: 105,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,102.80 : 217,690.96 = 70,258.80 : x
  2. Step 2: Convert to fraction form
    145,102.80/217,690.96 = 70,258.80/x
  3. Step 3: Cross multiply
    145,102.80x = 217,690.96 × 70,258.80
  4. Step 4: Simplify right side
    145,102.80x = 15,294,705,620.45
  5. Step 5: Solve for x
    x = 15,294,705,620.45/145,102.80
  6. Step 6: Final answer
    x = 105,406.00

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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.