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Finding the Fourth Proportional to 42,970.76, 64,400.74 and 19,261

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Solution

The fourth proportional to 42,970.76, 64,400.74 and 19,261 is: 28,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.76 : 64,400.74 = 19,261 : x
  2. Step 2: Convert to fraction form
    42,970.76/64,400.74 = 19,261/x
  3. Step 3: Cross multiply
    42,970.76x = 64,400.74 × 19,261
  4. Step 4: Simplify right side
    42,970.76x = 1,240,422,653.14
  5. Step 5: Solve for x
    x = 1,240,422,653.14/42,970.76
  6. Step 6: Final answer
    x = 28,866.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.