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Finding the Fourth Proportional to 76,307.84, 105,340.80 and 50,856.08

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Solution

The fourth proportional to 76,307.84, 105,340.80 and 50,856.08 is: 70,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.84 : 105,340.80 = 50,856.08 : x
  2. Step 2: Convert to fraction form
    76,307.84/105,340.80 = 50,856.08/x
  3. Step 3: Cross multiply
    76,307.84x = 105,340.80 × 50,856.08
  4. Step 4: Simplify right side
    76,307.84x = 5,357,220,152.06
  5. Step 5: Solve for x
    x = 5,357,220,152.06/76,307.84
  6. Step 6: Final answer
    x = 70,205.37

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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.