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Finding the Fourth Proportional to 245,609.28, 368,413.93 and 87,828.16

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Solution

The fourth proportional to 245,609.28, 368,413.93 and 87,828.16 is: 131,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,609.28 : 368,413.93 = 87,828.16 : x
  2. Step 2: Convert to fraction form
    245,609.28/368,413.93 = 87,828.16/x
  3. Step 3: Cross multiply
    245,609.28x = 368,413.93 × 87,828.16
  4. Step 4: Simplify right side
    245,609.28x = 32,357,117,590.27
  5. Step 5: Solve for x
    x = 32,357,117,590.27/245,609.28
  6. Step 6: Final answer
    x = 131,742.24

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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.