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Finding the Fourth Proportional to 153,930.15, 230,403.15 and 109,643.40

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Solution

The fourth proportional to 153,930.15, 230,403.15 and 109,643.40 is: 164,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.15 : 230,403.15 = 109,643.40 : x
  2. Step 2: Convert to fraction form
    153,930.15/230,403.15 = 109,643.40/x
  3. Step 3: Cross multiply
    153,930.15x = 230,403.15 × 109,643.40
  4. Step 4: Simplify right side
    153,930.15x = 25,262,184,736.71
  5. Step 5: Solve for x
    x = 25,262,184,736.71/153,930.15
  6. Step 6: Final answer
    x = 164,114.60

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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.