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Finding the Fourth Proportional to 86,686.90, 130,030.35 and 51,205.30

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Solution

The fourth proportional to 86,686.90, 130,030.35 and 51,205.30 is: 76,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686.90 : 130,030.35 = 51,205.30 : x
  2. Step 2: Convert to fraction form
    86,686.90/130,030.35 = 51,205.30/x
  3. Step 3: Cross multiply
    86,686.90x = 130,030.35 × 51,205.30
  4. Step 4: Simplify right side
    86,686.90x = 6,658,243,080.86
  5. Step 5: Solve for x
    x = 6,658,243,080.86/86,686.90
  6. Step 6: Final answer
    x = 76,807.95

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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.