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Finding the Fourth Proportional to 143,779.34, 198,415.60 and 83,385.02

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Solution

The fourth proportional to 143,779.34, 198,415.60 and 83,385.02 is: 115,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,779.34 : 198,415.60 = 83,385.02 : x
  2. Step 2: Convert to fraction form
    143,779.34/198,415.60 = 83,385.02/x
  3. Step 3: Cross multiply
    143,779.34x = 198,415.60 × 83,385.02
  4. Step 4: Simplify right side
    143,779.34x = 16,544,888,774.31
  5. Step 5: Solve for x
    x = 16,544,888,774.31/143,779.34
  6. Step 6: Final answer
    x = 115,071.39

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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.