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Finding the Fourth Proportional to 163,819.72, 245,729.40 and 51,509.77

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Solution

The fourth proportional to 163,819.72, 245,729.40 and 51,509.77 is: 77,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,819.72 : 245,729.40 = 51,509.77 : x
  2. Step 2: Convert to fraction form
    163,819.72/245,729.40 = 51,509.77/x
  3. Step 3: Cross multiply
    163,819.72x = 245,729.40 × 51,509.77
  4. Step 4: Simplify right side
    163,819.72x = 12,657,464,876.24
  5. Step 5: Solve for x
    x = 12,657,464,876.24/163,819.72
  6. Step 6: Final answer
    x = 77,264.60

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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.