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Finding the Fourth Proportional to 153,929.60, 230,926.80 and 65,137.40

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Solution

The fourth proportional to 153,929.60, 230,926.80 and 65,137.40 is: 97,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,929.60 : 230,926.80 = 65,137.40 : x
  2. Step 2: Convert to fraction form
    153,929.60/230,926.80 = 65,137.40/x
  3. Step 3: Cross multiply
    153,929.60x = 230,926.80 × 65,137.40
  4. Step 4: Simplify right side
    153,929.60x = 15,041,971,342.32
  5. Step 5: Solve for x
    x = 15,041,971,342.32/153,929.60
  6. Step 6: Final answer
    x = 97,719.81

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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.