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Finding the Fourth Proportional to 86,684.82, 130,053.80 and 77,743.63

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Solution

The fourth proportional to 86,684.82, 130,053.80 and 77,743.63 is: 116,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684.82 : 130,053.80 = 77,743.63 : x
  2. Step 2: Convert to fraction form
    86,684.82/130,053.80 = 77,743.63/x
  3. Step 3: Cross multiply
    86,684.82x = 130,053.80 × 77,743.63
  4. Step 4: Simplify right side
    86,684.82x = 10,110,854,864.22
  5. Step 5: Solve for x
    x = 10,110,854,864.22/86,684.82
  6. Step 6: Final answer
    x = 116,639.28

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1.5x scale

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.