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Finding the Fourth Proportional to 101,397.81, 139,928.16 and 56,077.70

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Solution

The fourth proportional to 101,397.81, 139,928.16 and 56,077.70 is: 77,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,397.81 : 139,928.16 = 56,077.70 : x
  2. Step 2: Convert to fraction form
    101,397.81/139,928.16 = 56,077.70/x
  3. Step 3: Cross multiply
    101,397.81x = 139,928.16 × 56,077.70
  4. Step 4: Simplify right side
    101,397.81x = 7,846,849,360.34
  5. Step 5: Solve for x
    x = 7,846,849,360.34/101,397.81
  6. Step 6: Final answer
    x = 77,386.77

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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.