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Finding the Fourth Proportional to 152,703.68, 210,825.60 and 101,788.16

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Solution

The fourth proportional to 152,703.68, 210,825.60 and 101,788.16 is: 140,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,703.68 : 210,825.60 = 101,788.16 : x
  2. Step 2: Convert to fraction form
    152,703.68/210,825.60 = 101,788.16/x
  3. Step 3: Cross multiply
    152,703.68x = 210,825.60 × 101,788.16
  4. Step 4: Simplify right side
    152,703.68x = 21,459,549,904.90
  5. Step 5: Solve for x
    x = 21,459,549,904.90/152,703.68
  6. Step 6: Final answer
    x = 140,530.67

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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.