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Finding the Fourth Proportional to 152,475.51, 210,416.22 and 85,407.51

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Solution

The fourth proportional to 152,475.51, 210,416.22 and 85,407.51 is: 117,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,475.51 : 210,416.22 = 85,407.51 : x
  2. Step 2: Convert to fraction form
    152,475.51/210,416.22 = 85,407.51/x
  3. Step 3: Cross multiply
    152,475.51x = 210,416.22 × 85,407.51
  4. Step 4: Simplify right side
    152,475.51x = 17,971,125,413.81
  5. Step 5: Solve for x
    x = 17,971,125,413.81/152,475.51
  6. Step 6: Final answer
    x = 117,862.37

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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.