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Finding the Fourth Proportional to 157,192, 216,444.58 and 118,486.05

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Solution

The fourth proportional to 157,192, 216,444.58 and 118,486.05 is: 163,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,192 : 216,444.58 = 118,486.05 : x
  2. Step 2: Convert to fraction form
    157,192/216,444.58 = 118,486.05/x
  3. Step 3: Cross multiply
    157,192x = 216,444.58 × 118,486.05
  4. Step 4: Simplify right side
    157,192x = 25,645,663,328.11
  5. Step 5: Solve for x
    x = 25,645,663,328.11/157,192
  6. Step 6: Final answer
    x = 163,148.65

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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.