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Finding the Fourth Proportional to 257,988.16, 386,984.64 and 78,074.88

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Solution

The fourth proportional to 257,988.16, 386,984.64 and 78,074.88 is: 117,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,988.16 : 386,984.64 = 78,074.88 : x
  2. Step 2: Convert to fraction form
    257,988.16/386,984.64 = 78,074.88/x
  3. Step 3: Cross multiply
    257,988.16x = 386,984.64 × 78,074.88
  4. Step 4: Simplify right side
    257,988.16x = 30,213,779,329.84
  5. Step 5: Solve for x
    x = 30,213,779,329.84/257,988.16
  6. Step 6: Final answer
    x = 117,113.05

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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.