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Finding the Fourth Proportional to 209,045.40, 288,602.34 and 137,633

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Solution

The fourth proportional to 209,045.40, 288,602.34 and 137,633 is: 190,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,045.40 : 288,602.34 = 137,633 : x
  2. Step 2: Convert to fraction form
    209,045.40/288,602.34 = 137,633/x
  3. Step 3: Cross multiply
    209,045.40x = 288,602.34 × 137,633
  4. Step 4: Simplify right side
    209,045.40x = 39,721,205,861.22
  5. Step 5: Solve for x
    x = 39,721,205,861.22/209,045.40
  6. Step 6: Final answer
    x = 190,012.34

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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.