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Finding the Fourth Proportional to 258,820.80, 357,172.56 and 145,643.64

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Solution

The fourth proportional to 258,820.80, 357,172.56 and 145,643.64 is: 200,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,820.80 : 357,172.56 = 145,643.64 : x
  2. Step 2: Convert to fraction form
    258,820.80/357,172.56 = 145,643.64/x
  3. Step 3: Cross multiply
    258,820.80x = 357,172.56 × 145,643.64
  4. Step 4: Simplify right side
    258,820.80x = 52,019,911,746.52
  5. Step 5: Solve for x
    x = 52,019,911,746.52/258,820.80
  6. Step 6: Final answer
    x = 200,988.14

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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.