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Finding the Fourth Proportional to 153,698, 230,346.08 and 78,754.64

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Solution

The fourth proportional to 153,698, 230,346.08 and 78,754.64 is: 118,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698 : 230,346.08 = 78,754.64 : x
  2. Step 2: Convert to fraction form
    153,698/230,346.08 = 78,754.64/x
  3. Step 3: Cross multiply
    153,698x = 230,346.08 × 78,754.64
  4. Step 4: Simplify right side
    153,698x = 18,140,822,605.81
  5. Step 5: Solve for x
    x = 18,140,822,605.81/153,698
  6. Step 6: Final answer
    x = 118,029.01

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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.