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Finding the Fourth Proportional to 157,159.95, 216,957.63 and 105,458.55

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Solution

The fourth proportional to 157,159.95, 216,957.63 and 105,458.55 is: 145,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,159.95 : 216,957.63 = 105,458.55 : x
  2. Step 2: Convert to fraction form
    157,159.95/216,957.63 = 105,458.55/x
  3. Step 3: Cross multiply
    157,159.95x = 216,957.63 × 105,458.55
  4. Step 4: Simplify right side
    157,159.95x = 22,880,037,071.24
  5. Step 5: Solve for x
    x = 22,880,037,071.24/157,159.95
  6. Step 6: Final answer
    x = 145,584.40

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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.