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Finding the Fourth Proportional to 99,046, 136,681.28 and 56,019.80

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Solution

The fourth proportional to 99,046, 136,681.28 and 56,019.80 is: 77,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,046 : 136,681.28 = 56,019.80 : x
  2. Step 2: Convert to fraction form
    99,046/136,681.28 = 56,019.80/x
  3. Step 3: Cross multiply
    99,046x = 136,681.28 × 56,019.80
  4. Step 4: Simplify right side
    99,046x = 7,656,857,969.34
  5. Step 5: Solve for x
    x = 7,656,857,969.34/99,046
  6. Step 6: Final answer
    x = 77,306.08

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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.