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Finding the Fourth Proportional to 98,830.80, 148,424.40 and 86,583.60

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Solution

The fourth proportional to 98,830.80, 148,424.40 and 86,583.60 is: 130,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,830.80 : 148,424.40 = 86,583.60 : x
  2. Step 2: Convert to fraction form
    98,830.80/148,424.40 = 86,583.60/x
  3. Step 3: Cross multiply
    98,830.80x = 148,424.40 × 86,583.60
  4. Step 4: Simplify right side
    98,830.80x = 12,851,118,879.84
  5. Step 5: Solve for x
    x = 12,851,118,879.84/98,830.80
  6. Step 6: Final answer
    x = 130,031.52

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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.