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Finding the Fourth Proportional to 97,478.32, 134,518.92 and 55,038.64

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Solution

The fourth proportional to 97,478.32, 134,518.92 and 55,038.64 is: 75,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478.32 : 134,518.92 = 55,038.64 : x
  2. Step 2: Convert to fraction form
    97,478.32/134,518.92 = 55,038.64/x
  3. Step 3: Cross multiply
    97,478.32x = 134,518.92 × 55,038.64
  4. Step 4: Simplify right side
    97,478.32x = 7,403,738,411.07
  5. Step 5: Solve for x
    x = 7,403,738,411.07/97,478.32
  6. Step 6: Final answer
    x = 75,952.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.