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Finding the Fourth Proportional to 66,698.64, 99,866.40 and 46,947.60

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Solution

The fourth proportional to 66,698.64, 99,866.40 and 46,947.60 is: 70,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698.64 : 99,866.40 = 46,947.60 : x
  2. Step 2: Convert to fraction form
    66,698.64/99,866.40 = 46,947.60/x
  3. Step 3: Cross multiply
    66,698.64x = 99,866.40 × 46,947.60
  4. Step 4: Simplify right side
    66,698.64x = 4,688,487,800.64
  5. Step 5: Solve for x
    x = 4,688,487,800.64/66,698.64
  6. Step 6: Final answer
    x = 70,293.60

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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.