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Finding the Fourth Proportional to 101,202, 139,658.84 and 56,490

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Solution

The fourth proportional to 101,202, 139,658.84 and 56,490 is: 77,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,202 : 139,658.84 = 56,490 : x
  2. Step 2: Convert to fraction form
    101,202/139,658.84 = 56,490/x
  3. Step 3: Cross multiply
    101,202x = 139,658.84 × 56,490
  4. Step 4: Simplify right side
    101,202x = 7,889,327,871.60
  5. Step 5: Solve for x
    x = 7,889,327,871.60/101,202
  6. Step 6: Final answer
    x = 77,956.24

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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.