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Finding the Fourth Proportional to 105,323.64, 157,985.43 and 42,172.20

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Solution

The fourth proportional to 105,323.64, 157,985.43 and 42,172.20 is: 63,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,323.64 : 157,985.43 = 42,172.20 : x
  2. Step 2: Convert to fraction form
    105,323.64/157,985.43 = 42,172.20/x
  3. Step 3: Cross multiply
    105,323.64x = 157,985.43 × 42,172.20
  4. Step 4: Simplify right side
    105,323.64x = 6,662,593,151.05
  5. Step 5: Solve for x
    x = 6,662,593,151.05/105,323.64
  6. Step 6: Final answer
    x = 63,258.29

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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.