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Finding the Fourth Proportional to 209,357.61, 314,036.59 and 51,586.08

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Solution

The fourth proportional to 209,357.61, 314,036.59 and 51,586.08 is: 77,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.61 : 314,036.59 = 51,586.08 : x
  2. Step 2: Convert to fraction form
    209,357.61/314,036.59 = 51,586.08/x
  3. Step 3: Cross multiply
    209,357.61x = 314,036.59 × 51,586.08
  4. Step 4: Simplify right side
    209,357.61x = 16,199,916,525.70
  5. Step 5: Solve for x
    x = 16,199,916,525.70/209,357.61
  6. Step 6: Final answer
    x = 77,379.16

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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.