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Finding the Fourth Proportional to 51,303.68, 70,802.23 and 28,642.64

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Solution

The fourth proportional to 51,303.68, 70,802.23 and 28,642.64 is: 39,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,303.68 : 70,802.23 = 28,642.64 : x
  2. Step 2: Convert to fraction form
    51,303.68/70,802.23 = 28,642.64/x
  3. Step 3: Cross multiply
    51,303.68x = 70,802.23 × 28,642.64
  4. Step 4: Simplify right side
    51,303.68x = 2,027,962,531.75
  5. Step 5: Solve for x
    x = 2,027,962,531.75/51,303.68
  6. Step 6: Final answer
    x = 39,528.60

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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.