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Finding the Fourth Proportional to 102,045.78, 140,813.52 and 56,718.40

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Solution

The fourth proportional to 102,045.78, 140,813.52 and 56,718.40 is: 78,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.78 : 140,813.52 = 56,718.40 : x
  2. Step 2: Convert to fraction form
    102,045.78/140,813.52 = 56,718.40/x
  3. Step 3: Cross multiply
    102,045.78x = 140,813.52 × 56,718.40
  4. Step 4: Simplify right side
    102,045.78x = 7,986,717,552.77
  5. Step 5: Solve for x
    x = 7,986,717,552.77/102,045.78
  6. Step 6: Final answer
    x = 78,266.02

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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.