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Finding the Fourth Proportional to 210,709.29, 315,916.21 and 77,572.22

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Solution

The fourth proportional to 210,709.29, 315,916.21 and 77,572.22 is: 116,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,709.29 : 315,916.21 = 77,572.22 : x
  2. Step 2: Convert to fraction form
    210,709.29/315,916.21 = 77,572.22/x
  3. Step 3: Cross multiply
    210,709.29x = 315,916.21 × 77,572.22
  4. Step 4: Simplify right side
    210,709.29x = 24,506,322,339.55
  5. Step 5: Solve for x
    x = 24,506,322,339.55/210,709.29
  6. Step 6: Final answer
    x = 116,303.95

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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.