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Finding the Fourth Proportional to 210,426.16, 315,758.88 and 77,289.28

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Solution

The fourth proportional to 210,426.16, 315,758.88 and 77,289.28 is: 115,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426.16 : 315,758.88 = 77,289.28 : x
  2. Step 2: Convert to fraction form
    210,426.16/315,758.88 = 77,289.28/x
  3. Step 3: Cross multiply
    210,426.16x = 315,758.88 × 77,289.28
  4. Step 4: Simplify right side
    210,426.16x = 24,404,776,488.81
  5. Step 5: Solve for x
    x = 24,404,776,488.81/210,426.16
  6. Step 6: Final answer
    x = 115,977.86

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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.