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Finding the Fourth Proportional to 98,916.40, 148,345.80 and 54,564.40

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Solution

The fourth proportional to 98,916.40, 148,345.80 and 54,564.40 is: 81,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,916.40 : 148,345.80 = 54,564.40 : x
  2. Step 2: Convert to fraction form
    98,916.40/148,345.80 = 54,564.40/x
  3. Step 3: Cross multiply
    98,916.40x = 148,345.80 × 54,564.40
  4. Step 4: Simplify right side
    98,916.40x = 8,094,399,569.52
  5. Step 5: Solve for x
    x = 8,094,399,569.52/98,916.40
  6. Step 6: Final answer
    x = 81,830.71

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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.