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Finding the Fourth Proportional to 104,258, 156,415.80 and 30,386

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Solution

The fourth proportional to 104,258, 156,415.80 and 30,386 is: 45,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,258 : 156,415.80 = 30,386 : x
  2. Step 2: Convert to fraction form
    104,258/156,415.80 = 30,386/x
  3. Step 3: Cross multiply
    104,258x = 156,415.80 × 30,386
  4. Step 4: Simplify right side
    104,258x = 4,752,850,498.80
  5. Step 5: Solve for x
    x = 4,752,850,498.80/104,258
  6. Step 6: Final answer
    x = 45,587.39

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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.