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Finding the Fourth Proportional to 265,829.04, 398,765.16 and 78,840

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Solution

The fourth proportional to 265,829.04, 398,765.16 and 78,840 is: 118,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,829.04 : 398,765.16 = 78,840 : x
  2. Step 2: Convert to fraction form
    265,829.04/398,765.16 = 78,840/x
  3. Step 3: Cross multiply
    265,829.04x = 398,765.16 × 78,840
  4. Step 4: Simplify right side
    265,829.04x = 31,438,645,214.40
  5. Step 5: Solve for x
    x = 31,438,645,214.40/265,829.04
  6. Step 6: Final answer
    x = 118,266.41

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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.