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Finding the Fourth Proportional to 137,886.48, 190,283.16 and 77,458.80

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Solution

The fourth proportional to 137,886.48, 190,283.16 and 77,458.80 is: 106,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.48 : 190,283.16 = 77,458.80 : x
  2. Step 2: Convert to fraction form
    137,886.48/190,283.16 = 77,458.80/x
  3. Step 3: Cross multiply
    137,886.48x = 190,283.16 × 77,458.80
  4. Step 4: Simplify right side
    137,886.48x = 14,739,105,233.81
  5. Step 5: Solve for x
    x = 14,739,105,233.81/137,886.48
  6. Step 6: Final answer
    x = 106,893.04

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1.5x scale

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.