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Finding the Fourth Proportional to 51,117, 70,547.94 and 28,765.32

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Solution

The fourth proportional to 51,117, 70,547.94 and 28,765.32 is: 39,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117 : 70,547.94 = 28,765.32 : x
  2. Step 2: Convert to fraction form
    51,117/70,547.94 = 28,765.32/x
  3. Step 3: Cross multiply
    51,117x = 70,547.94 × 28,765.32
  4. Step 4: Simplify right side
    51,117x = 2,029,334,069.44
  5. Step 5: Solve for x
    x = 2,029,334,069.44/51,117
  6. Step 6: Final answer
    x = 39,699.79

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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.