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Finding the Fourth Proportional to 142,952.51, 197,274.57 and 79,290.77

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Solution

The fourth proportional to 142,952.51, 197,274.57 and 79,290.77 is: 109,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.51 : 197,274.57 = 79,290.77 : x
  2. Step 2: Convert to fraction form
    142,952.51/197,274.57 = 79,290.77/x
  3. Step 3: Cross multiply
    142,952.51x = 197,274.57 × 79,290.77
  4. Step 4: Simplify right side
    142,952.51x = 15,642,051,570.35
  5. Step 5: Solve for x
    x = 15,642,051,570.35/142,952.51
  6. Step 6: Final answer
    x = 109,421.32

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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.