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Finding the Fourth Proportional to 142,565, 196,513.06 and 112,302.44

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Solution

The fourth proportional to 142,565, 196,513.06 and 112,302.44 is: 154,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,565 : 196,513.06 = 112,302.44 : x
  2. Step 2: Convert to fraction form
    142,565/196,513.06 = 112,302.44/x
  3. Step 3: Cross multiply
    142,565x = 196,513.06 × 112,302.44
  4. Step 4: Simplify right side
    142,565x = 22,068,896,129.87
  5. Step 5: Solve for x
    x = 22,068,896,129.87/142,565
  6. Step 6: Final answer
    x = 154,798.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.