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Finding the Fourth Proportional to 155,145.30, 232,731.30 and 42,825.54

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Solution

The fourth proportional to 155,145.30, 232,731.30 and 42,825.54 is: 64,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,145.30 : 232,731.30 = 42,825.54 : x
  2. Step 2: Convert to fraction form
    155,145.30/232,731.30 = 42,825.54/x
  3. Step 3: Cross multiply
    155,145.30x = 232,731.30 × 42,825.54
  4. Step 4: Simplify right side
    155,145.30x = 9,966,843,597.40
  5. Step 5: Solve for x
    x = 9,966,843,597.40/155,145.30
  6. Step 6: Final answer
    x = 64,242.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.