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Finding the Fourth Proportional to 56,413.97, 77,852.13 and 30,920.13

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Solution

The fourth proportional to 56,413.97, 77,852.13 and 30,920.13 is: 42,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.97 : 77,852.13 = 30,920.13 : x
  2. Step 2: Convert to fraction form
    56,413.97/77,852.13 = 30,920.13/x
  3. Step 3: Cross multiply
    56,413.97x = 77,852.13 × 30,920.13
  4. Step 4: Simplify right side
    56,413.97x = 2,407,197,980.38
  5. Step 5: Solve for x
    x = 2,407,197,980.38/56,413.97
  6. Step 6: Final answer
    x = 42,670.25

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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.