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Finding the Fourth Proportional to 78,455.78, 108,264.48 and 42,645.50

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Solution

The fourth proportional to 78,455.78, 108,264.48 and 42,645.50 is: 58,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.78 : 108,264.48 = 42,645.50 : x
  2. Step 2: Convert to fraction form
    78,455.78/108,264.48 = 42,645.50/x
  3. Step 3: Cross multiply
    78,455.78x = 108,264.48 × 42,645.50
  4. Step 4: Simplify right side
    78,455.78x = 4,616,992,881.84
  5. Step 5: Solve for x
    x = 4,616,992,881.84/78,455.78
  6. Step 6: Final answer
    x = 58,848.35

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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.