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Finding the Fourth Proportional to 190,323.04, 285,526.32 and 78,004

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Solution

The fourth proportional to 190,323.04, 285,526.32 and 78,004 is: 117,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,323.04 : 285,526.32 = 78,004 : x
  2. Step 2: Convert to fraction form
    190,323.04/285,526.32 = 78,004/x
  3. Step 3: Cross multiply
    190,323.04x = 285,526.32 × 78,004
  4. Step 4: Simplify right side
    190,323.04x = 22,272,195,065.28
  5. Step 5: Solve for x
    x = 22,272,195,065.28/190,323.04
  6. Step 6: Final answer
    x = 117,023.12

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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.