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Finding the Fourth Proportional to 158,228.64, 218,257.20 and 97,817.76

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Solution

The fourth proportional to 158,228.64, 218,257.20 and 97,817.76 is: 134,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,228.64 : 218,257.20 = 97,817.76 : x
  2. Step 2: Convert to fraction form
    158,228.64/218,257.20 = 97,817.76/x
  3. Step 3: Cross multiply
    158,228.64x = 218,257.20 × 97,817.76
  4. Step 4: Simplify right side
    158,228.64x = 21,349,430,407.87
  5. Step 5: Solve for x
    x = 21,349,430,407.87/158,228.64
  6. Step 6: Final answer
    x = 134,927.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.