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Finding the Fourth Proportional to 47,205, 70,807.50 and 19,503.72

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Solution

The fourth proportional to 47,205, 70,807.50 and 19,503.72 is: 29,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205 : 70,807.50 = 19,503.72 : x
  2. Step 2: Convert to fraction form
    47,205/70,807.50 = 19,503.72/x
  3. Step 3: Cross multiply
    47,205x = 70,807.50 × 19,503.72
  4. Step 4: Simplify right side
    47,205x = 1,381,009,653.90
  5. Step 5: Solve for x
    x = 1,381,009,653.90/47,205
  6. Step 6: Final answer
    x = 29,255.58

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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.