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Finding the Fourth Proportional to 251,720.94, 377,491.47 and 83,210.16

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Solution

The fourth proportional to 251,720.94, 377,491.47 and 83,210.16 is: 124,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,720.94 : 377,491.47 = 83,210.16 : x
  2. Step 2: Convert to fraction form
    251,720.94/377,491.47 = 83,210.16/x
  3. Step 3: Cross multiply
    251,720.94x = 377,491.47 × 83,210.16
  4. Step 4: Simplify right side
    251,720.94x = 31,411,125,617.34
  5. Step 5: Solve for x
    x = 31,411,125,617.34/251,720.94
  6. Step 6: Final answer
    x = 124,785.51

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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.