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Finding the Fourth Proportional to 105,031.68, 157,411.44 and 42,668.16

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Solution

The fourth proportional to 105,031.68, 157,411.44 and 42,668.16 is: 63,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.68 : 157,411.44 = 42,668.16 : x
  2. Step 2: Convert to fraction form
    105,031.68/157,411.44 = 42,668.16/x
  3. Step 3: Cross multiply
    105,031.68x = 157,411.44 × 42,668.16
  4. Step 4: Simplify right side
    105,031.68x = 6,716,456,507.75
  5. Step 5: Solve for x
    x = 6,716,456,507.75/105,031.68
  6. Step 6: Final answer
    x = 63,946.96

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1.5x scale

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.