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Finding the Fourth Proportional to 65,888.16, 98,802.32 and 28,430.48

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Solution

The fourth proportional to 65,888.16, 98,802.32 and 28,430.48 is: 42,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888.16 : 98,802.32 = 28,430.48 : x
  2. Step 2: Convert to fraction form
    65,888.16/98,802.32 = 28,430.48/x
  3. Step 3: Cross multiply
    65,888.16x = 98,802.32 × 28,430.48
  4. Step 4: Simplify right side
    65,888.16x = 2,808,997,382.71
  5. Step 5: Solve for x
    x = 2,808,997,382.71/65,888.16
  6. Step 6: Final answer
    x = 42,632.81

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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.