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Finding the Fourth Proportional to 230,413.50, 317,970.64 and 124,429.50

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Solution

The fourth proportional to 230,413.50, 317,970.64 and 124,429.50 is: 171,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,413.50 : 317,970.64 = 124,429.50 : x
  2. Step 2: Convert to fraction form
    230,413.50/317,970.64 = 124,429.50/x
  3. Step 3: Cross multiply
    230,413.50x = 317,970.64 × 124,429.50
  4. Step 4: Simplify right side
    230,413.50x = 39,564,927,749.88
  5. Step 5: Solve for x
    x = 39,564,927,749.88/230,413.50
  6. Step 6: Final answer
    x = 171,712.72

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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.