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Finding the Fourth Proportional to 157,643.10, 221,253.30 and 157,643.10

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Solution

The fourth proportional to 157,643.10, 221,253.30 and 157,643.10 is: 221,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,643.10 : 221,253.30 = 157,643.10 : x
  2. Step 2: Convert to fraction form
    157,643.10/221,253.30 = 157,643.10/x
  3. Step 3: Cross multiply
    157,643.10x = 221,253.30 × 157,643.10
  4. Step 4: Simplify right side
    157,643.10x = 34,879,056,097.23
  5. Step 5: Solve for x
    x = 34,879,056,097.23/157,643.10
  6. Step 6: Final answer
    x = 221,253.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.