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Finding the Fourth Proportional to 105,230.16, 157,742.64 and 42,031.44

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Solution

The fourth proportional to 105,230.16, 157,742.64 and 42,031.44 is: 63,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230.16 : 157,742.64 = 42,031.44 : x
  2. Step 2: Convert to fraction form
    105,230.16/157,742.64 = 42,031.44/x
  3. Step 3: Cross multiply
    105,230.16x = 157,742.64 × 42,031.44
  4. Step 4: Simplify right side
    105,230.16x = 6,630,150,308.60
  5. Step 5: Solve for x
    x = 6,630,150,308.60/105,230.16
  6. Step 6: Final answer
    x = 63,006.18

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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.