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Finding the Fourth Proportional to 231,681.63, 319,646.34 and 129,692.10

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Solution

The fourth proportional to 231,681.63, 319,646.34 and 129,692.10 is: 178,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,681.63 : 319,646.34 = 129,692.10 : x
  2. Step 2: Convert to fraction form
    231,681.63/319,646.34 = 129,692.10/x
  3. Step 3: Cross multiply
    231,681.63x = 319,646.34 × 129,692.10
  4. Step 4: Simplify right side
    231,681.63x = 41,455,605,091.91
  5. Step 5: Solve for x
    x = 41,455,605,091.91/231,681.63
  6. Step 6: Final answer
    x = 178,933.50

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1.5x scale

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.