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Finding the Fourth Proportional to 209,784.93, 314,539.52 and 101,685.68

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Solution

The fourth proportional to 209,784.93, 314,539.52 and 101,685.68 is: 152,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784.93 : 314,539.52 = 101,685.68 : x
  2. Step 2: Convert to fraction form
    209,784.93/314,539.52 = 101,685.68/x
  3. Step 3: Cross multiply
    209,784.93x = 314,539.52 × 101,685.68
  4. Step 4: Simplify right side
    209,784.93x = 31,984,162,896.95
  5. Step 5: Solve for x
    x = 31,984,162,896.95/209,784.93
  6. Step 6: Final answer
    x = 152,461.68

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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.