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Finding the Fourth Proportional to 160,643.64, 221,688.80 and 89,024.88

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Solution

The fourth proportional to 160,643.64, 221,688.80 and 89,024.88 is: 122,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,643.64 : 221,688.80 = 89,024.88 : x
  2. Step 2: Convert to fraction form
    160,643.64/221,688.80 = 89,024.88/x
  3. Step 3: Cross multiply
    160,643.64x = 221,688.80 × 89,024.88
  4. Step 4: Simplify right side
    160,643.64x = 19,735,818,817.34
  5. Step 5: Solve for x
    x = 19,735,818,817.34/160,643.64
  6. Step 6: Final answer
    x = 122,854.65

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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.