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Finding the Fourth Proportional to 78,886.31, 108,809.12 and 47,030.63

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Solution

The fourth proportional to 78,886.31, 108,809.12 and 47,030.63 is: 64,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,886.31 : 108,809.12 = 47,030.63 : x
  2. Step 2: Convert to fraction form
    78,886.31/108,809.12 = 47,030.63/x
  3. Step 3: Cross multiply
    78,886.31x = 108,809.12 × 47,030.63
  4. Step 4: Simplify right side
    78,886.31x = 5,117,361,036.88
  5. Step 5: Solve for x
    x = 5,117,361,036.88/78,886.31
  6. Step 6: Final answer
    x = 64,870.08

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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.