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Finding the Fourth Proportional to 153,486.63, 229,804.77 and 78,445.17

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Solution

The fourth proportional to 153,486.63, 229,804.77 and 78,445.17 is: 117,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,486.63 : 229,804.77 = 78,445.17 : x
  2. Step 2: Convert to fraction form
    153,486.63/229,804.77 = 78,445.17/x
  3. Step 3: Cross multiply
    153,486.63x = 229,804.77 × 78,445.17
  4. Step 4: Simplify right side
    153,486.63x = 18,027,074,249.46
  5. Step 5: Solve for x
    x = 18,027,074,249.46/153,486.63
  6. Step 6: Final answer
    x = 117,450.45

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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.