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Finding the Fourth Proportional to 210,547.84, 315,946.80 and 77,521.56

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Solution

The fourth proportional to 210,547.84, 315,946.80 and 77,521.56 is: 116,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,547.84 : 315,946.80 = 77,521.56 : x
  2. Step 2: Convert to fraction form
    210,547.84/315,946.80 = 77,521.56/x
  3. Step 3: Cross multiply
    210,547.84x = 315,946.80 × 77,521.56
  4. Step 4: Simplify right side
    210,547.84x = 24,492,688,813.01
  5. Step 5: Solve for x
    x = 24,492,688,813.01/210,547.84
  6. Step 6: Final answer
    x = 116,328.38

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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.