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Finding the Fourth Proportional to 51,155.74, 70,594.70 and 28,495

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Solution

The fourth proportional to 51,155.74, 70,594.70 and 28,495 is: 39,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,155.74 : 70,594.70 = 28,495 : x
  2. Step 2: Convert to fraction form
    51,155.74/70,594.70 = 28,495/x
  3. Step 3: Cross multiply
    51,155.74x = 70,594.70 × 28,495
  4. Step 4: Simplify right side
    51,155.74x = 2,011,595,976.50
  5. Step 5: Solve for x
    x = 2,011,595,976.50/51,155.74
  6. Step 6: Final answer
    x = 39,322.98

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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.