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Finding the Fourth Proportional to 102,574.72, 153,457.38 and 77,686.72

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Solution

The fourth proportional to 102,574.72, 153,457.38 and 77,686.72 is: 116,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.72 : 153,457.38 = 77,686.72 : x
  2. Step 2: Convert to fraction form
    102,574.72/153,457.38 = 77,686.72/x
  3. Step 3: Cross multiply
    102,574.72x = 153,457.38 × 77,686.72
  4. Step 4: Simplify right side
    102,574.72x = 11,921,600,511.99
  5. Step 5: Solve for x
    x = 11,921,600,511.99/102,574.72
  6. Step 6: Final answer
    x = 116,223.57

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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.