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Finding the Fourth Proportional to 101,017.68, 139,409.16 and 56,306

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Solution

The fourth proportional to 101,017.68, 139,409.16 and 56,306 is: 77,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.68 : 139,409.16 = 56,306 : x
  2. Step 2: Convert to fraction form
    101,017.68/139,409.16 = 56,306/x
  3. Step 3: Cross multiply
    101,017.68x = 139,409.16 × 56,306
  4. Step 4: Simplify right side
    101,017.68x = 7,849,572,162.96
  5. Step 5: Solve for x
    x = 7,849,572,162.96/101,017.68
  6. Step 6: Final answer
    x = 77,704.93

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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.