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Finding the Fourth Proportional to 98,386.94, 146,813.06 and 87,784.10

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Solution

The fourth proportional to 98,386.94, 146,813.06 and 87,784.10 is: 130,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,386.94 : 146,813.06 = 87,784.10 : x
  2. Step 2: Convert to fraction form
    98,386.94/146,813.06 = 87,784.10/x
  3. Step 3: Cross multiply
    98,386.94x = 146,813.06 × 87,784.10
  4. Step 4: Simplify right side
    98,386.94x = 12,887,852,340.35
  5. Step 5: Solve for x
    x = 12,887,852,340.35/98,386.94
  6. Step 6: Final answer
    x = 130,991.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.