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Finding the Fourth Proportional to 103,008.16, 154,235.39 and 65,364.42

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Solution

The fourth proportional to 103,008.16, 154,235.39 and 65,364.42 is: 97,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,008.16 : 154,235.39 = 65,364.42 : x
  2. Step 2: Convert to fraction form
    103,008.16/154,235.39 = 65,364.42/x
  3. Step 3: Cross multiply
    103,008.16x = 154,235.39 × 65,364.42
  4. Step 4: Simplify right side
    103,008.16x = 10,081,506,562.49
  5. Step 5: Solve for x
    x = 10,081,506,562.49/103,008.16
  6. Step 6: Final answer
    x = 97,870.95

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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.