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Finding the Fourth Proportional to 105,088.16, 157,262.40 and 65,663.84

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Solution

The fourth proportional to 105,088.16, 157,262.40 and 65,663.84 is: 98,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,088.16 : 157,262.40 = 65,663.84 : x
  2. Step 2: Convert to fraction form
    105,088.16/157,262.40 = 65,663.84/x
  3. Step 3: Cross multiply
    105,088.16x = 157,262.40 × 65,663.84
  4. Step 4: Simplify right side
    105,088.16x = 10,326,453,071.62
  5. Step 5: Solve for x
    x = 10,326,453,071.62/105,088.16
  6. Step 6: Final answer
    x = 98,264.67

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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.